A variational formulation for translation and assimilation of coherent structures
The assimilation of observations from teledetected images in geophysical models requires one to develop algorithms that would account for the existence of coherent structures. In the context of variational data assimilation, a method is proposed to allow the background to be translated so as to fit...
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2013-10-01
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| Series: | Nonlinear Processes in Geophysics |
| Online Access: | http://www.nonlin-processes-geophys.net/20/793/2013/npg-20-793-2013.pdf |
| _version_ | 1819240643723001856 |
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| author | M. Plu |
| author_facet | M. Plu |
| author_sort | M. Plu |
| collection | DOAJ |
| description | The assimilation of observations from teledetected images in geophysical models requires one to develop algorithms that would account for the existence of coherent structures. In the context of variational data assimilation, a method is proposed to allow the background to be translated so as to fit structure positions deduced from images. Translation occurs as a first step before assimilating all the observations using a classical assimilation procedure with specific covariances for the translated background. A simple validation is proposed using a dynamical system based on the one-dimensional complex Ginzburg–Landau equation in a regime prone to phase and amplitude errors. Assimilation of observations after background translation leads to better scores and a better representation of extremas than the method without translation. |
| first_indexed | 2024-12-23T14:11:17Z |
| format | Article |
| id | doaj.art-b96248d2bd1842c9ac6097c36b86dda5 |
| institution | Directory Open Access Journal |
| issn | 1023-5809 1607-7946 |
| language | English |
| last_indexed | 2024-12-23T14:11:17Z |
| publishDate | 2013-10-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Nonlinear Processes in Geophysics |
| spelling | doaj.art-b96248d2bd1842c9ac6097c36b86dda52022-12-21T17:44:02ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462013-10-0120579380110.5194/npg-20-793-2013A variational formulation for translation and assimilation of coherent structuresM. PluThe assimilation of observations from teledetected images in geophysical models requires one to develop algorithms that would account for the existence of coherent structures. In the context of variational data assimilation, a method is proposed to allow the background to be translated so as to fit structure positions deduced from images. Translation occurs as a first step before assimilating all the observations using a classical assimilation procedure with specific covariances for the translated background. A simple validation is proposed using a dynamical system based on the one-dimensional complex Ginzburg–Landau equation in a regime prone to phase and amplitude errors. Assimilation of observations after background translation leads to better scores and a better representation of extremas than the method without translation.http://www.nonlin-processes-geophys.net/20/793/2013/npg-20-793-2013.pdf |
| spellingShingle | M. Plu A variational formulation for translation and assimilation of coherent structures Nonlinear Processes in Geophysics |
| title | A variational formulation for translation and assimilation of coherent structures |
| title_full | A variational formulation for translation and assimilation of coherent structures |
| title_fullStr | A variational formulation for translation and assimilation of coherent structures |
| title_full_unstemmed | A variational formulation for translation and assimilation of coherent structures |
| title_short | A variational formulation for translation and assimilation of coherent structures |
| title_sort | variational formulation for translation and assimilation of coherent structures |
| url | http://www.nonlin-processes-geophys.net/20/793/2013/npg-20-793-2013.pdf |
| work_keys_str_mv | AT mplu avariationalformulationfortranslationandassimilationofcoherentstructures AT mplu variationalformulationfortranslationandassimilationofcoherentstructures |